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A Course of Elementary Number Theory
A statement which is provably equivalent is the well-ordering principle which says that any non-empty set of integers which is bounded below has a minimal element. Theorem 1.1. Every member of N is a product of prime numbers. Proof. 1 is an \empty product" of primes, so the case n= 1 holds. Suppose that we have proved the result for every mwith ...
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